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Nonlinear Spinor Theory in Terms of Vacuum Expectation Values

  • Conference paper
Elementary Particle Theories

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 3/1966))

Abstract

We shall consider in these lectures the system of equations for the vacuum expectation values of certain products of field operators (the n-point-functions) of a nonlinear, cubic spinor theory with the field equation

$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBa % aaleaacqaHXoqycqaHYoGyaeqaaOGaeqiYdK3aaSbaaSqaaiabek7a % IbqabaGccqGHRaWkcaWGwbWaaSbaaSqaaiabeg7aHjabek7aIjaacY % cacqqHspqOcqaH0oazaeqaaOGaeqiYdK3aa0baaSqaaiabfk9aHcqa % aiaacQcaaaGccqaHipqEdaWgaaWcbaGaeuO0dekabeaakiabeI8a5n % aaBaaaleaacqaH0oazaeqaaOGaeyypa0JaaGimaaaa!555C! D_{\alpha \beta } \psi _\beta + V_{\alpha \beta ,\Upsilon \delta } \psi _\Upsilon ^* \psi _\Upsilon \psi _\delta = 0 $$
((1))

Lecture given at the V. Internationalen Universitätswochen für Kernphysik, Schladming, 24 February – 9 March 1966.

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References

  1. Functional techniques have been discussed by various authors. For renormalizable theories see e.g. K. Symanzik, Hercegovi lectures 1962, where more literature can be found.

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  2. The correlation functions n have been used in field theory by W. Zimmermann, Nuovo Cim. 13, 503 (1959).

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  3. For literature see footnote 10) in the paper by G.Källén, Acta Physica Austriaca, Suppl. II., 1965. The representation was used also by J. Schwinger in a lecture at Harvard University 1954 (The Theory of Coupled Fields, unpublished lecture notes).

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  4. A. S. Wightman, Phys. Rev. 101, 860 (1956).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. W. Heisenberg, Nucl. Phys. 4, 532 (1957).

    Article  MATH  Google Scholar 

  6. R. Haag, in: Les Problémes Mathématiques de la Théorie Quantique des Champs, Paris 1959.

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  7. K. Sekine, Nucl. Phys. 23, 245 (1961).

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  8. I. M. Gel’fand, G. E. Schilow, Verallgemeinerte Funktionen I, Berlin 1960.

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  9. H. Mitter, Nuovo Cim. 32, 1789 (1964).

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  10. K. Johnson, Nuovo Cim. 20, 773 (1961).

    Article  Google Scholar 

  11. H. Mitter, Nuovo Cim. 38, 1040 (1965).

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, München, Deutschland

    H. Mitter

Authors
  1. H. Mitter
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Editor information

Editors and Affiliations

  1. Universität Graz, Graz, Österreich

    Paul Urban (Vorstand des Institutes für Theoretische Physik) (Vorstand des Institutes für Theoretische Physik)

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© 1966 Springer-Verlag GmbH Wien

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Mitter, H. (1966). Nonlinear Spinor Theory in Terms of Vacuum Expectation Values. In: Urban, P. (eds) Elementary Particle Theories. Acta Physica Austriaca, vol 3/1966. Springer, Vienna. https://doi.org/10.1007/978-3-7091-5566-0_3

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  • DOI: https://doi.org/10.1007/978-3-7091-5566-0_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-80755-2

  • Online ISBN: 978-3-7091-5566-0

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